• DocumentCode
    811122
  • Title

    Frequency criteria for the absence of limit cycles in nonlinear systems

  • Author

    Rootenberg, Jacob ; Walk, Ralph

  • Author_Institution
    Columbia University, New York, NY, USA
  • Volume
    18
  • Issue
    1
  • fYear
    1973
  • fDate
    2/1/1973 12:00:00 AM
  • Firstpage
    64
  • Lastpage
    65
  • Abstract
    A method is derived herein that provides a geometric interpretation of frequency regions in the Nyquist plane over which simple oscillations cannot occur. These criteria answer a question of system behavior when Popov-type criteria are violated.
  • Keywords
    Limit cycles; Nonlinear systems; Popov stability; Stability; Colored noise; Delay systems; Frequency domain analysis; Jacobian matrices; Laboratories; Limit-cycles; Nonlinear systems; Smoothing methods; Stability criteria; Telephony;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1973.1100221
  • Filename
    1100221